The numbers inside the parenthesis is the value of x, uses the equation associated with the value of x and solve.
H(1) Since 1 fits 1≤x≤3 use x^3
x^3 1^3 = 1
h(1) = 1
h(4) 4 fits x >3, so use 5
h(4) = 5
Answer:
Step-by-step explanation:
Given that there is a group of 17 people in a party. There takes place a number of hand shakes between them.
To show that there is always two people who shake hands with the same total number of people.
If possible let each person did a different number of handshake.
We know that since there are 17 people, there cannot be more than 16 hand shakes for any one in the group.
Hence if different hand shakes must be 0,1,2...16
Consider the last person having 16 hand shakes. He has shaken hand with each other person in the group thus making it clear that no one could have done 0 hand shakes. Since we get a contradiction, our assumption was wrong. That is, there is always two people who shake hands with the same total number of people.
Answer:
X=0 or x=8/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the question, we are given;
- The equation y = 3x + 2
- A point (-1, -2)
We are required to determine the equation of a line parallel to the given line and passing through the point (-1, -2)
- We are going to determine the gradient of the line first; when an equation is written in the form of y = mx + c, where m is the gradient.
y = 3x + 2, m₁ = 3
- But, m₁ = m₂ for parallel lines
- Therefore, the gradient of the line in question, m₂ is 3
- With the gradient, m₂=3 , and a point (-1, -2) we can get its equation;
Taking another point (x, y)...
Then;
Therefore; the equation of the line is
